Mathematical Analysis II

Course No.:SMG1151202   Credit(s): 6

Course Description

Mathematical Analysis II is a course in the second semester, which is the second part of the foundational course Mathematical Analysis. It is the continue course of Mathematical Analysis I and is the transition from elementarymathematics and Mathematical Analysis I to advance mathematics, which will develop the students' qualities of modern mathematics and lay a solid foundation for students to continue to learn subsequent courses.

By studying Mathematical Analysis II, students can master theories of limitation and concepts and methods of differential calculus of several variables. Meanwhile they have the ability of strictly logical deduction, and can pithily and clearly use mathematical formulas and language to calculate quickly and flexibly.

Course Learning Outcomes

The student learning outcomes are what student would be able to know and to do on the completion of this course. In details are:

1. Understand the fundamental concepts and methods of differential calculus of several variables, e.g. partial derivative, total differentiation, multiple integrals, continuity, etc.

2. Be able to develop some skills in working with the fundamental concepts and theorems.

3. Apply series, differential calculus of several variables, total differentiation, multiple integrals, implicit function theorem, curvilinear integrals and surface integrals to solve some economic problems.

Relationship to Other Courses

The prerequisites for this course are high mathematics and Mathematical Analysis I.

Textbook and Reading Lists

Textbook:

Yulian Liu, Notes of Mathematical analysis (5th edition). Higher Education Press, 2011.

Suggested reading lists:

Department of Mathematics of EastChinaNormalUniversity, Mathematical Analysis (4th edition). Higher Education Press, 2010.

Yulian Liu, Study Guide of Notes of Mathematical analysis (2nd edition). Higher Education Press, 2003.

Course Assessment

Course Schedule